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	<h1>A crossed random effects model with 5 levels of crossing</h1>
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                     Code: <a href="biglog.tpl">biglog.tpl</a><br>
                     Data: 		<a href="biglog.dat">biglog.dat</a><br>
                     Initial values: <a href="biglog.pin">biglog.pin</a><br>
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                     Expected Results: <a href="biglog.par">biglog.par</a><br>
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                     In a <a href="../admb_tutorial.html">DOS</a> window<br> 
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<h3><strong>Model description</strong></h3>
An example of a model with two crossed random effects is:
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<div align="center">
	<em>y</em> 
	= 
	<em>u<sub>i</sub></em> + <em>v<sub>j</sub></em> + <em>e</em>,
</div>
where <em>u</em> and <em>v</em> are the random effects.
Crossed random effects causes problems in many software packages, particularly when there are many levels of crossings. 
In ADMB-RE there is no limit to the number of crossed levels you can have (but there is of course an upper
limit to total number of random effects element you can put in).

The current model is a logistic regression with 5 crossed random effects (with 10 levels within each):
<div align="center">
	<em>u1<sub>i1</sub></em> + <em>u2<sub>i2</sub></em> + <em>u2<sub>i2</sub></em> + <em>u3<sub>i3</sub></em> + <em>u4<sub>i4</sub></em> +
	 <em>u5<sub>i5</sub></em> ,
</div>
There are about 5,000 observations (0's or 1's) for randomly selected combinations of <em>i1,...,i5</em>.

<h3><strong>Results</strong></h3>
It takes about 4 minutes to fit the model.

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